Spin Quartets . Sonification of the Xy Model
نویسندگان
چکیده
We present an intuitive sonification of data from a statistical physics model, the XY-spin model. Topological structures (anti-/vortices) are hidden to the eye by random spin movement. The behavior of the vortices changes by crossing a phase transition as a function of the temperature. Our sonification builds on basic acoustic properties of phase modulation. Only interesting structures like anti-/vortices remain heard, while everything else falls silent, without additional computational effort. The researcher interacts with the data by a graphical user interface. The sonification can be extended to any lattice model where locally turbulent structures are embedded in rather laminar fields.
منابع مشابه
Sonification of Spin Models. Listening to Phase Transitions in the Ising and Potts Model
In the interdisciplinary research project SonEnvir, we used sound to perceptualise data stemming from spin models. The advantages herein lie in the possibility of displaying more dimensions than in visual representation on one hand, and in the potential of the human auditory system on the other. Spin models provide an interesting test case for sonification in physics, as they model complex syst...
متن کاملبررسی خواص بحرانی مدلهای هایزنبرگ و XY کلاسیک به روش گروه بازبهنجارش میدان میانگین (MFRG)
Using both mean field renormalization group (MFRG) and Surface-Bulk MFRG (SBMFRG), we study the critical behavior of the classical Heisenberg and XY models on a simple cubic lattice. Critical temperatures as well as critical exponents, characteristic the universality classes of these two models were calculated, analytically for1, 2, 3 and 4 spin clusters. The results are in good agreement with...
متن کاملAb Initio Calculations of the Spin-half Xy Model
In this article, the correlated basis-function (CBF) method is applied for the first time to the quantum spin-half XY model on the linear chain, the square lattice, and the simple cubic lattice. In this treatment of the quantum spin-half XY model a Jastrow ansatz is utilised to approximate the ground-state wave function. Results for the ground-state energy and the sublattice magnetisation are p...
متن کاملIntroduction to the Mathematics of the XY -Spin Chain
In the following we present an introduction to the mathematical theory of the XY spin chain. The importance of this model lies in the fact, first understood by Lieb, Schultz and Mattis in [4], that the XY spin chain is one of very few “exactly solvable” models in the theory of quantum many-body systems. Lieb, Schultz and Mattis considered the constant coefficient case. In the variable coefficie...
متن کاملNumerical Approach for the Study of the Spin-1/2 XY Chains Dynamic Properties
The paper presents a numerical approach for the calculation of thermodynamics and spin correlations for spin-2 XY chains. To illustrate the approach we performed exact finite-chain calculations of all time-dependent two-spin correlation functions for the spin-2 Ising chain in the transverse field. The computed correlation functions permit to evaluate the frequency-dependent susceptibilities and...
متن کامل